rebexxca
contestada

Write the equation of the line that passes through the points (3, 6) and (4, 10) using function notation.

A, f(x) = 4x − 6
B, f(x) = x + 4
C, y = x + 4
D, y = 4x − 6

Please help, ty, you will be marked brainliest if u also explain how u got it

Respuesta :

anonymous79
Gradient= y1-y2/x1-x2
=(10-6)/(4-3)=4
y=4x+c
6=4(3)+c
c=-6
equation is D

Answer:

Option D -  [tex]y=4x-6[/tex]

Step-by-step explanation:

Given : The line that passes through the points (3, 6) and (4, 10).

To find : Write the equation of the line that passes through the points?

Solution :

We use the two point slope form given by,

[tex](y-y_1)=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)[/tex]

We have given,

[tex](x_1,y_1)=(3,6)\\(x_2,y_2)=(4,10)[/tex]

Substitute the value in the formula,

[tex](y-6)=(\frac{10-6}{4-3})(x-3)[/tex]

[tex](y-6)=(\frac{4}{1})(x-3)[/tex]

[tex](y-6)=4(x-3)[/tex]

[tex]y-6=4x-12[/tex]

[tex]y=4x-12+6[/tex]

[tex]y=4x-6[/tex]

Therefore, The equation form is [tex]y=4x-6[/tex]

So, Option D is correct.

Otras preguntas